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Finding the Fourth Proportional to 234.98, 324.17 and 161.16

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Solution

The fourth proportional to 234.98, 324.17 and 161.16 is: 222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.98 : 324.17 = 161.16 : x
  2. Step 2: Convert to fraction form
    234.98/324.17 = 161.16/x
  3. Step 3: Cross multiply
    234.98x = 324.17 × 161.16
  4. Step 4: Simplify right side
    234.98x = 52,243.24
  5. Step 5: Solve for x
    x = 52,243.24/234.98
  6. Step 6: Final answer
    x = 222.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.